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Finding the Fourth Proportional to 8,032.40, 12,048.60 and 6,817.40

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Solution

The fourth proportional to 8,032.40, 12,048.60 and 6,817.40 is: 10,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.40 : 12,048.60 = 6,817.40 : x
  2. Step 2: Convert to fraction form
    8,032.40/12,048.60 = 6,817.40/x
  3. Step 3: Cross multiply
    8,032.40x = 12,048.60 × 6,817.40
  4. Step 4: Simplify right side
    8,032.40x = 82,140,125.64
  5. Step 5: Solve for x
    x = 82,140,125.64/8,032.40
  6. Step 6: Final answer
    x = 10,226.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.